File:Milne.model.comoving.spacetime.diagramm.png

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Summary

Description
English: Milne model in FLRW coordinates. Hubble radius RH (blue), light cone RL (orange), hypersurface of constant t (red) and T (pink), comoving worldlines (gray dashed). Comoving distances R by cosmic time t (x=R, y=t). The particle horizon is infinite in proper and comoving coordinates, but cT in Minkowski coordinates. Doublechecked with Figure 1 in DOI:10.48550/arXiv.2005.01968
Date
Source Own work, relativity.yukterez.net/o/milne.html
Author Simon Tyran, Vienna (Yukterez)
Other versions
big crunch universe (Ωr=2, Ωk=-1) proper
big crunch universe (Ωr=2, Ωk=-1) comoving
big crunch universe (Ωr=2, Ωk=-1) conformal
big crunch universe (Ωr=2, Ωk=-1) polar
big crunch universe (Ωm=2, Ωk=-1) proper
big crunch universe (Ωm=2, Ωk=-1) comoving
big crunch universe (Ωm=2, Ωk=-1) conformal
big crunch universe (Ωm=2, Ωk=-1) polar
closed inflationary universe (ΩΛ=2, Ωk=-1) proper
closed inflationary universe (ΩΛ=2, Ωk=-1) comoving
closed inflationary universe (ΩΛ=2, Ωk=-1) conformal
closed inflationary universe (ΩΛ=2, Ωk=-1) polar
flat universe (Ωr=1) proper
flat universe (Ωr=1) comoving
flat universe (Ωr=1) conformal
flat universe (Ωm=1) proper
flat universe (Ωm=1) comoving
flat universe (Ωm=1) conformal
hyperbolic universe (Ωk>0, ΩΛ=0) proper
hyperbolic universe (Ωk>0, ΩΛ=0) comoving
hyperbolic universe (Ωk>0, ΩΛ=0) conformal
phantom energy (w=-2/3) proper
phantom energy (w=-2/3) comoving
phantom energy (w=-2/3) conformal
big rip universe (w=-4/3) proper
big rip universe (w=-4/3) comoving
big rip universe (w=-4/3) conformal
flat universe (Ωr+Ωm+ΩΛ=1) proper
flat universe (Ωr+Ωm+ΩΛ=1) comoving
flat universe (Ωr+Ωm+ΩΛ=1) conformal
milne model (Ωk=1) proper
milne model (Ωk=1) comoving
milne model (Ωk=1) conformal
milne model (Ωk=1) minkowski

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Captions

Spacetime diagram of the milne universe, comoving distances

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23 December 2024

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current08:58, 7 January 2025Thumbnail for version as of 08:58, 7 January 20253,840 × 2,096 (144 KB)wikimediacommons>Yukterezcolor correction

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